geodesic | Geodesic

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Geodesic - Wikipedia
wikipedia.org

https://en.wikipedia.org/wiki/Geodesic

WEBIn geometry, a geodesic ( / ˌdʒiː.əˈdɛsɪk, - oʊ -, - ˈdiːsɪk, - zɪk /) [1] [2] is a curve representing in some sense the shortest [a] path ( arc) between two points in a surface, or more generally in a Riemannian manifold. The term also has meaning in any differentiable manifold with a connection.

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Geodesic -- from Wolfram MathWorld
wolfram.com

https://mathworld.wolfram.com/Geodesic.html

WEBApr 13, 2024 · A geodesic is a locally length-minimizing curve. Equivalently, it is a path that a particle which is not accelerating would follow. In the plane , the geodesics are straight lines. On the sphere, the geodesics are great circles (like the equator).

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Geodesy - Wikipedia
wikipedia.org

https://en.wikipedia.org/wiki/Geodesy

WEBIn German, geodesy can refer to either higher geodesy ( höhere Geodäsie or Erdmessung, literally "geomensuration") — concerned with measuring Earth on the global scale, or engineering geodesy ( Ingenieurgeodäsie) that includes surveying — measuring parts or regions of Earth.

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Geodesic Definition & Meaning - Merriam-Webster
merriam-webster.com

https://www.merriam-webster.com/dictionary/geodesic

WEB1. : geodetic. 2. : made of light straight structural elements mostly in tension. a geodesic dome. geodesic. 2 of 2. noun. : the shortest line between two points that lies in a given …

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Geodesic | mathematics | Britannica
britannica.com

https://www.britannica.com/science/geodesic

WEBA geodesic, the shortest distance between any two points on a sphere, is an arc of the great circle through the two points. The formula for determining a sphere’s surface area is 4π r 2 ; its volume is determined by ( 4 / 3 )π r 3 .

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5.10: Geodesic - Physics LibreTexts
libretexts.org

https://phys.libretexts.org/Bookshelves/Classical_Mechanics/Variational_Principles_in_Classical_Mechanics_(Cline)/05%3A_Calculus_of_Variations/5.10%3A_Geodesic

WEBFeb 28, 2021 · University of Rochester. The geodesic is defined as the shortest path between two fixed points for motion that is constrained to lie on a surface. Variational calculus provides a powerful approach for determining the equations of motion constrained to follow a geodesic.

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Geodesics in general relativity - Wikipedia
wikipedia.org

https://en.wikipedia.org/wiki/Geodesics_in_general_relativity

WEBIn general relativity, a geodesic generalizes the notion of a "straight line" to curved spacetime. Importantly, the world line of a particle free from all external, non-gravitational forces is a particular type of geodesic. In other words, a freely moving or falling particle always moves along a geodesic. In general relativity, gravity can be ...

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3.1: The Geodesic Equation - Physics LibreTexts
libretexts.org

https://phys.libretexts.org/Courses/Skidmore_College/Introduction_to_General_Relativity/03%3A_Schwarzschild_Orbits/3.01%3A_The_Geodesic_Equation

WEBDefinition: Geodesic. A geodesic is the worldline that results from applying the Principle of Maximal Aging. That is, it is the inertial worldline that connects two events. The geodesic equation is a way of determining the geodesic that connects two events.

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Geodesic line - Encyclopedia of Mathematics
encyclopediaofmath.org

https://encyclopediaofmath.org/wiki/Geodesic_line

WEBMar 5, 2012 · The notion of a geodesic line (also: geodesic ) is a geometric concept which is a generalization of the concept of a straight line (or a segment of a straight line) in Euclidean geometry to spaces of a more general type.

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Geodesic Definition (Illustrated Mathematics Dictionary) - Math is …
mathsisfun.com

https://www.mathsisfun.com/definitions/geodesic.html

WEBThe shortest line segment between two points on a sphere or other curved surface. A Geodesic Dome is made with straight beams that go from one point on a sphere to another: so it is made of geodesics! Sphere. Illustrated definition of Geodesic: The shortest line segment between two points on a sphere or other curved surface.

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